GCD of 209, 298, 731, 273 Calculator

Given Input numbers are 209, 298, 731, 273

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 209, 298, 731, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 298, 731, 273 is 1.

Therefore, GCD of numbers 209, 298, 731, 273 is 1

Given Input Data is 209, 298, 731, 273

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 209 is 11 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 731 is 17 x 43

Prime Factorization of 273 is 3 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(209, 298) = 62282

GCD(209, 298) = ( 209 x 298 ) / 62282

GCD(209, 298) = 62282 / 62282

GCD(209, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 209, 298, 731, 273 is 1

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• GCD of 118, 560, 773, 470
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• GCD of 754, 708, 871, 273

1. What is the GCD of 209, 298, 731, 273?

GCD of 209, 298, 731, 273 is 1

2. Where do I get the detailed procedure to find GCD of 209, 298, 731, 273?

You can find a detailed procedure to find GCD of 209, 298, 731, 273 on our page.

3. How to find GCD of 209, 298, 731, 273 on a calculator?

You can find the GCD of 209, 298, 731, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.